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Finding the Fourth Proportional to 197,205.80, 295,808.70 and 147,633.80

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Solution

The fourth proportional to 197,205.80, 295,808.70 and 147,633.80 is: 221,450.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,205.80 : 295,808.70 = 147,633.80 : x
  2. Step 2: Convert to fraction form
    197,205.80/295,808.70 = 147,633.80/x
  3. Step 3: Cross multiply
    197,205.80x = 295,808.70 × 147,633.80
  4. Step 4: Simplify right side
    197,205.80x = 43,671,362,454.06
  5. Step 5: Solve for x
    x = 43,671,362,454.06/197,205.80
  6. Step 6: Final answer
    x = 221,450.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.